11814368 has 36 divisors (see below), whose sum is σ = 24144120. Its totient is φ = 5690496.

The previous prime is 11814353. The next prime is 11814427. The reversal of 11814368 is 86341811.

It is a happy number.

It is a super-3 number, since 3×11814368³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26693 + ... + 27131.

It is an arithmetic number, because the mean of its divisors is an integer number (670670).

Almost surely, 2^11814368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11814368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12072060).

11814368 is an abundant number, since it is smaller than the sum of its proper divisors (12329752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11814368 is an equidigital number, since it uses as much as digits as its factorization.

11814368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 470 counting only the distinct ones).

The product of its digits is 4608, while the sum is 32.

The square root of 11814368 is about 3437.2035144867. The cubic root of 11814368 is about 227.7561772277.

The spelling of 11814368 in words is "eleven million, eight hundred fourteen thousand, three hundred sixty-eight".